Fractal (Information) Decay
Fractal Decay As shown in the animation below and described in my earlier entries, the fractal demonstrates development and growth, but if this is reversed, it also demonstrates decay. It develops from the first simple iteration to the complex and, in reverse, decays from the complex to the simple, from the snowflake to the triangle. fractal growth and development Analysis Below are two diagrams that analyse the Koch Snowflake fractal: the top diagram shows the exponential, and the lower the log. Both are split vertically (with a 'black' line of reflection), showing development on the left side and decay on the right side. Keep your eye on the snowflake. The blue curve shows the extra benefit of another iteration (in terms of Area), and green - the extra cost of producing or iterating. As fractal development is exponential, it follows that so is decay. The above diagram of the two shows the exponential curve - with a constant elasticity (or sensitiv